Factorization of singular matrices

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dc.contributor.authorSourour, A. R.
dc.contributor.authorTang, Kunikyo
dc.date.accessioned2010-04-27T22:53:04Z
dc.date.available2010-04-27T22:53:04Z
dc.date.copyright1991en
dc.date.issued2010-04-27T22:53:04Z
dc.descriptionOriginally published November 1990. Revised March 1991.en
dc.description.abstractWe give a necessary and sufficient condition that a singular square matrix A over an arbitrary field can be written as a product of two matrices with prescribed eigenvalues. Except when A is a 2 x 2 nonzero nilpotent, the condition is that the number of zeros among the eigenvalues of the factors is not less than the nullity of A. We use this result to prove results about products of hermitian and positive semidefinite matrices simplifying and strengthening some known results.en
dc.identifier.urihttp://hdl.handle.net/1828/2657
dc.language.isoenen
dc.relation.ispartofseriesDMS-565-IRen
dc.subjecttechnical reports (mathematics and statistics)
dc.subject.departmentDepartment of Mathematics and Statistics
dc.titleFactorization of singular matricesen
dc.typeTechnical Reporten

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